Question 969368: Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Yoko drove home, there was no traffic and the trip only took 4 hours. If her average rate was 27 miles per hour faster on the trip home, how far away does Yoko live from the mountains?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Yoko drove home, there was no traffic and the trip only took 4 hours. If her average rate was 27 miles per hour faster on the trip home, how far away does Yoko live from the mountains?
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To mountains DATA:
time = 7 hrs ; distance = x miles ; rate = d/t = x/7 mph
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From mountains DATA:
time = 4 hrs ; distance = x miles ; rate = d/t = x/4 mph
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Equation:
rate - rate = 27
x/4 - x/7 = 27
7x - 4x = 28*27
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3x = 28*27
x = 28*9
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Ans:: distance = 252 miles
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Cheers,
Stan H.
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